How many flowers were there in all?

Harry and Jack raised roses and petunias in their garden. If 15 percent of the flowers were roses and there were 120 roses, how many flowrs were there in all?

This is what I did, but it seems to be wrong:

15x120 = 1800

1800(100) = 180,000

It seems unlikely that there are 180,000 flowers in the garden. Please show your work, and if you can, please explain what I did wrong.

7 Answers

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  • 1 decade ago
    Favorite Answer

    Let's solve it in an equation based form:

    We know that 15 percent of the flowers are roses.

    But we don't know the number of flowers altogether in their 100 percent collection.

    Therefore, let's set up the equation now:

    15 / 120 = 100 / x (This equation states that 15 percent of the flowers are 120 roses, and that 100% of the flowers will determine "x" number of flowers).

    So let's re-write the equation again and cross multiply:

    15 / 120 = 100 / x (Cross Multiply)

    15 * x = 100 * 120

    15x = 12000

    x = 800

    Therefore, there were 800 flowers in all.

    Hope that helps

  • V
    Lv 4
    1 decade ago

    for each %15 there are 120 roses, so the question is how many %15 are there in a %100?

    100/15=6.666666667

    therefore there are 6.666666667*(120 roses) in total

    6.666666667*120=800 roses

    as for what you did:

    you multiplied the %15 by the number of roses in a %15 (120). then you multiplied it by a 100 witch is unfortunately gives you a wrong answer

  • 1 decade ago

    think about this this way:

    if 15% of the roses equals to 120 roses,

    15% = 120

    you'll need to find 100%

    So,

    15% = 120

    5% = 40 (you divide the numbers above with 3)

    100% = 800 (multiply the numbers above this (5% = 40) by 20)

    So the answer is 800.

  • 1 decade ago

    Let x be the number of flowers.

    Then 15% of x = 120. Or, converting to decimal, 0.15 times x, or 0.15x = 120. Divide both sides by 0.15 to get x = 120/0.15 = 800.

    So there were 800 flowers in all.

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  • 1 decade ago

    0.15X=120

    That means 15 percent of total(X) leaves 120 left.

    Solve for X, which is 800 flowers total.

    Yay!

  • 1 decade ago

    the answer would only be 800 flowers.

    because the 15% of 800 is 120.

    yei...

    .^^

  • 1 decade ago

    x=all the flowers

    120/x = 0.15

    120=0.15 x

    120/0.15=x

    x=800

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